STATIONARY SOLUTIONS TO THE ANDERSON–WITTING MODEL OF THE RELATIVISTIC BOLTZMANN EQUATION IN A BOUNDED INTERVAL.

The Anderson–Witting model is a relativistic generalization of the Bhatnagar–Gross– Krook model which is well-known as the relaxation-time approximation of the celebrated Boltzmann equation. In this paper, we address the stationary boundary value problems to the Anderson–Witting model in slab geometry. We prove the existence of unique stationary solution to the boundary value problem of the Anderson–Witting model in a bounded interval with the inflow boundary data when the gas is sufficiently rarefied. [ABSTRACT FROM AUTHOR]